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5 papers · 2 filters
A graphical calculus for the Jack inner product on symmetric functions
Anthony Licata, Daniele Rosso, Alistair Savage
Starting from a graded Frobenius superalgebra , we consider a graphical calculus of -decorated string diagrams. From this calculus we produce algebras consisting of closed pl…
Quadratic Capelli operators and Okounkov polynomials
Siddhartha Sahi, Hadi Salmasian
Let be the symmetric cone of positive definite Hermitian matrices over a real division algebra . Then admits a natural family of invariant different…
Invariant polynomials on truncated multicurrent algebras
Tiago Macedo, Alistair Savage
We construct invariant polynomials on truncated multicurrent algebras, which are Lie algebras of the form , where $…
Irreducible modules for equivariant map superalgebras and their extensions
Lucas Calixto, Tiago Macedo
Let be a group acting on a scheme and on a Lie superalgebra , both defined over an algebraically closed field of characteristic zero . The correspondin…
Branching Rules for -fold Covering Groups of over a Non-Archimedean Local Field
Camelia Karimianpour
Let be the -fold covering group of the special linear group of degree two, over a non-Archimedean local field. We determine the decomposition into irreducibles o…